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    J Math Biol. 1990;28(4):411-34.

    Threshold and stability results for an age-structured epidemic model.

    Source

    Institute of Theoretical Biology, University of Leiden, The Netherlands.

    Abstract

    We study a mathematical model for an epidemic spreading in an age-structured population with age-dependent transmission coefficient. We formulate the model as an abstract Cauchy problem on a Banach space and show the existence and uniqueness of solutions. Next we derive some conditions which guarantee the existence and uniqueness for non-trivial steady states of the model. Finally the local and global stability for the steady states are examined.

    PMID:
    2384720
    [PubMed - indexed for MEDLINE]

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